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Finding the Fourth Proportional to 2,163.92, 3,246.48 and 777.37

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Solution

The fourth proportional to 2,163.92, 3,246.48 and 777.37 is: 1,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.92 : 3,246.48 = 777.37 : x
  2. Step 2: Convert to fraction form
    2,163.92/3,246.48 = 777.37/x
  3. Step 3: Cross multiply
    2,163.92x = 3,246.48 × 777.37
  4. Step 4: Simplify right side
    2,163.92x = 2,523,723.26
  5. Step 5: Solve for x
    x = 2,523,723.26/2,163.92
  6. Step 6: Final answer
    x = 1,166.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.